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Finding the Fourth Proportional to 200.30, 300.02 and 183.11

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Solution

The fourth proportional to 200.30, 300.02 and 183.11 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 300.02 = 183.11 : x
  2. Step 2: Convert to fraction form
    200.30/300.02 = 183.11/x
  3. Step 3: Cross multiply
    200.30x = 300.02 × 183.11
  4. Step 4: Simplify right side
    200.30x = 54,934.25
  5. Step 5: Solve for x
    x = 54,934.25/200.30
  6. Step 6: Final answer
    x = 274.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.